Answer:
is represented in the graph.
Step-by-step explanation:
To find the linear inequality for the shown graph.
Steps:
Finding the equation of dotted line shown in the graph.
Equation of line is given by
where 
is slope of line and 
is y-intercept.
Given points: 
Slope of the line 
∴ 
From the given points we can see that point of y-intercept is given i.e. the point where the line intersects the y-axis 
∴ 
So equation of line:
Since the shaded area in the graph is above the line and the line is dotted this means that 
is greater than the equation of line.
So, the inequality can be given as:
0.63 is rounded to the nearest hundredth
Answer: The required confidence interval would be (2.72,2.89)
Step-by-step explanation:
Since we have given that
Mean = 2.8 pounds
Standard deviation = 0.24 pounds
n = sample size = 16
We need to find the 80% confidence interval for the mean waste.
z=1.341
So, the confidence interval will be
Hence, the required confidence interval would be (2.72,2.89)
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Answer:
The expressions which equivalent to 
are:
⇒ B
⇒ C
Step-by-step explanation:
Let us revise some rules of exponent
Now let us find the equivalent expressions of
A.
∵ 4 = 2 × 2
∴ 4 = 
∴ 
= 
- By using the second rule above multiply 2 and (n + 2)
∵ 2(n + 2) = 2n + 4
∴ = 
B.
∵ 4 = 2 × 2
∴ 4 = 2²
∴ = 2² × 
- By using the first rule rule add the exponents of 2
∵ 2 + n + 1 = n + 3
∴ =
C.
∵ 8 = 2 × 2 × 2
∴ 8 = 2³
∴ = 2³ × 
- By using the first rule rule add the exponents of 2
∵ 3 + n = n + 3
∴ =
D.
∵ 16 = 2 × 2 × 2 × 2
∴ 16 = 
∴ 
= ×
- By using the first rule rule add the exponents of 2
∵ 4 + n = n + 4
∴ = 
E.
is in its simplest form
The expressions which equivalent to are:
⇒ B
⇒ C
